Electron-positron pair production in the electrosphere of quark stars

Abstract

We study Schwinger pair creation of charged particles due to the inhomogeneous electric field created by the thin electron layer at the surface of quark stars (the electrosphere). As suggested earlier, due to the low photon emissivity of the quark-gluon plasma and of the electrosphere, electron-positron pair emission could be the main observational signature of quark stars. To obtain the electron-positron pair creation rate we use the tunnelling approach. Explicit expressions for the fermion creation rate per unit time per unit volume are derived, which generalize the classical Schwinger result. The finite size effects in pair production, due to the presence of a boundary (the surface of the quark star), are also considered in the framework of a simple approach. It is shown that the boundary effects induce large quantitative and qualitative deviations of the particle production rate from what one deduces with the Schwinger formula and its generalization for the electric field of the electrosphere. The electron-positron pair emissivity and flux of the electrosphere of quark stars due to pair creation is considered, and the magnitude of the boundary effects for this parameters is estimated. Due to the inhomogeneity of the electric field distribution in the electrosphere and of the presence of the boundary effects, at high temperatures ($T\ge T_{cr}\approx 0.1$ MeV) we find a lower electron-positron flux as previously estimated. The numerical value of the critical temperature $T_{cr}$ depends on the surface potential of the star. We briefly consider the effect of the magnetic field on the pair creation process and show that the magnetic field can enhance drastically the pair creation rate.

arXiv comment34 pages, 12 figures, accepted for publication in ApJ

References in corpus (23)

• QCD at Finite Baryon Density: Nucleon Droplets and Color Superconductivity
• Electric fields at the quark surface of strange stars in the color-flavor locked phase
• The central engine of gamma-ray bursters
• Signal of Quark Deconfinement in the Timing Structure of Pulsar Spin-Down
• Schwinger Pair Production via Instantons in Strong Electric Fields
• Conversion of neutron stars to strange stars as an origin of gamma-ray bursts
• Bare Quark Matter Surfaces of Strange Stars and $e^{+}{e}^{-}$ Emission
• Diquark Condensates and Compact Star Cooling
• High-density QCD pairing in compact star structure
• Thermal Evolution and Light Curves of Young Bare Strange Stars
• Thermal emission from bare quark matter surfaces of hot strange stars
• Is GRO J1744-28 a Strange Star?
• Collapsing strange quark matter in Vaidya geometry
• Structure of the electrospheres of bare strange stars
• QED effective action at finite temperature
• Back-Reaction In Lightcone QED
• Surface photon emissivity of bare strange stars
• Bremsstrahlung photons from the bare surface of a strange quark star
• Maximum mass and radius of strange stars in the linear approximation of the EOS
• Nucleation of quark matter in neutron stars cores
• Photon emissivity of the electrosphere of bare strange stars
• Reply to Comment on "Bare quark matter surfaces of strange stars and $e^{+}{e}^{-}$ emission"
• Non trivial generalizations of the Schwinger pair production result

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